On the automorphisms of designs constructed from finite simple groups

Autor: Le, Tung, Moori, Jamshid
Rok vydání: 2014
Předmět:
Druh dokumentu: Working Paper
Popis: Here we study the automorphism groups of $1$-designs constructed from finite nonabelian simple groups by using two methods presented in Moori (Information Security, Coding Theory and Related Combinatorics, 2011). We obtain some general results for both and improve one of these methods. In an application to the sporadic Mathieu groups $M_{n}$, we are able to retrieve the Steiner systems $S(t,t+3,n)$ where $(n,t)\in\{(22,3),(23,4),(24,5)\}$.
Comment: 12 pages
Databáze: arXiv